To measure the satisfaction of their customers Ali Baba restaurant sends out 1000 surveys to their customers. Out of the 823 sur
1 answer:
Answer:
Th proportion of satisfied customers is
Step-by-step explanation:
Although 1,000 surveys were send, we may consider our sample is only made by the 823 surveys returned.
Out of the returned surveys (n=823), 635 people said they were satisfied with the restaurant.
Then, the p-hat (proportion of satisfied people) of this sample is calculated as:
If we consider as the sample size all the surveys sent, and assuming the surveys not returned belong to non-satisfied customers, the proportion of satisfied clients is:
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Answer:
Center: (1,3)
Radius: 6
Step-by-step explanation:
Hi there!
Typically, the equation of a circle would be in the form where
is the center and
is the radius.
To get the given equation into this form, we must complete the square for both x and y.
<u>1) Complete the square for x</u>
Let's take a look at this part of the equation:
To complete the square, we must add to the expression the square of half of 2. That would be 1² = 1:
Great! Now, let's add this to our original equation:
We cannot randomly add a 1 to just one side, so we must do the same to the right side of the equation:
Complete the square:
<u>2) Complete the square for y</u>
Let's take a look at this part of the equation :
To complete the square, we must add to the expression the square of half of 6. That would be 3² = 9:
Great! Now, back to our original equation:
Remember to add 9 on the other side as well:
Complete the square:
<u>3) Determine the center and the radius</u>
Now, we can see that (1,3) is in the place of (h,k). 36 is also in the place of r², making 6 the radius.
I hope this helps!